A072038 Column of Zorach additive triangle in which n appears (or 0 in the unlikely event that it does not).

1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 3, 2, 3, 4, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 4, 2, 3, 2, 1, 1, 1, 1, 4, 2, 1, 1, 1, 3, 1, 1, 4, 2, 2, 1, 1, 2, 1, 3, 1, 2, 5, 1, 1, 3, 2, 3, 1, 4, 1, 2, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 5, 2, 1, 1, 3, 2, 1, 4, 2, 2, 1, 1, 1, 2, 1, 1, 5, 1

Offset

1,3

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

A. C. Zorach, Additive triangle

Haskell programs for sequences in connection with Zorach additive triangle

Formula

If a(n) > 0: n = A035312(A072039(n)-1, a(n)-1).

Example

a(8)=1 since 8 appears in the first (i.e. left hand) column.

Prog

(Haskell) See link.

Crossrefs

If a(n)=1 then n is in A035311, if a(n)=A072039(n) then n is in A035313. Cf. A035312, A035358, A072039.

Sequence in context: A281681 A218799 A078770 * A284315 A262928 A228429

Adjacent sequences: A072035 A072036 A072037 * A072039 A072040 A072041

Keyword

nonn

Author

Henry Bottomley, Jun 07 2002

Status

approved